\existentialConstants {
  int x1, x2, x3, x4;
}
\problem {
(\exists int x1;(
(((-5*x1) + 4*x2 >= 5 & (3*x1 + 3*x2 + 5*x3 <= -4 | ! (5*x1 + 3*x2 + 4*x3 + 1*x4 = 0))) | (((-1*x1) + (-2*x2) + 2*x4 > 2 & 4*x1 + (-4*x2) + 5*x3 + 5*x4 <= 0) & ((-1*x1) + (-3*x3) + (-1*x4) >= 0 | 3*x1 + 1*x2 + 4*x3 >= 0)))
))
}
